131771993761152 has 512 divisors, whose sum is σ = 417359832854400. Its totient is φ = 41291787239424.

The previous prime is 131771993761117. The next prime is 131771993761159. The reversal of 131771993761152 is 251167399177131.

It is a happy number.

131771993761152 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 7 + 1 + 9 + 9 + 3 + 7 + 611 + 5 + 2 = 666.

It is a super-2 number, since 2×131771993761152² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131771993761152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131771993761159) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4173550038 + ... + 4173581610.

Almost surely, 2^{131771993761152} is an apocalyptic number.

131771993761152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131771993761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208679916427200).

131771993761152 is an abundant number, since it is smaller than the sum of its proper divisors (285587839093248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131771993761152 is an frugal number, since it uses more digits than its factorization.

131771993761152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32502 (or 32472 counting only the distinct ones).

The product of its digits is 15002820, while the sum is 63.

The spelling of 131771993761152 in words is "one hundred thirty-one trillion, seven hundred seventy-one billion, nine hundred ninety-three million, seven hundred sixty-one thousand, one hundred fifty-two".